On the solvability of mixed variational problems with solution-dependent sets of Lagrange multipliers

DOI10.1017/S0308210512000637zbMath1292.49011OpenAlexW2100425476MaRDI QIDQ2871080

Andaluzia Matei

Publication date: 21 January 2014

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210512000637

zbMATH Keywords

Lagrange multipliersvariational inequalityweak solvabilityboundary-value problemvariational equationfrictional contact problemfixed-point techniqueweakly sequentially continuous map

Mathematics Subject Classification ID

Variational inequalities (49J40) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Fixed-point theorems (47H10) Existence theories for problems in abstract spaces (49J27) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (6)

Existence and uniqueness result for a class of mixed variational problems ⋮ A mixed variational problem with applications in contact mechanics ⋮ Two abstract mixed variational problems and applications in contact mechanics ⋮ A mixed variational formulation of a contact problem with wear ⋮ History-dependent mixed variational problems in contact mechanics ⋮ An existence result for a mixed variational problem arising from contact mechanics

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